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Finding the Third Proportional to 429,478 and 970,312

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Solution

The third proportional to 429,478 and 970,312 is: 2,192,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,478 : 970,312 = 970,312 : x
  2. Step 2: Convert to fraction form
    429,478/970,312 = 970,312/x
  3. Step 3: Cross multiply
    429,478x = 970,312 × 970,312
  4. Step 4: Simplify right side
    429,478x = 941,505,377,344
  5. Step 5: Solve for x
    x = 941,505,377,344/429,478
  6. Step 6: Final answer
    x = 2,192,208.63

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.